Question

3-2 ✔2 upon 3+2✔2
rationalize the denominator ​

Answer 1

$= > \: \: \frac{3 - 2 \sqrt{2} }{3 + 2 \sqrt{2} } \\ \\ = > \: \: \frac{3 - 2 \sqrt{2} }{3 + 2 \sqrt{2} } \times \frac{3 - 2 \sqrt{2} }{3 - 2 \sqrt{2} } \\ \\ = > \: \: \frac{ {(3 - 2 \sqrt{2} })^{2} }{(3 + 2\sqrt{2})(3 - 2 \sqrt{2}) } \\ \\ = > \: \: \frac{ {3}^{2} + {(2 \sqrt{2}) }^{2} - 12 \sqrt{2} }{ {(3)}^{2} - {(2 \sqrt{2} })^{2} } \\ \\ = > \: \: \frac{9 + 8 - 12 \sqrt{2} }{9 - 8} \\ \\ = > \: \: \frac{17 - 12 \sqrt{2} }{1} \\ \\ = > \: \: 17 - 12 \sqrt{2}$